C, P, T, and Triality

TL;DR

This paper introduces a novel triality symmetry extending the well-known CPT symmetries of fermions, resulting in a group that connects three generations of fermions, offering new insights into fundamental particle symmetries.

Contribution

It proposes the CPTt Group, a new symmetry framework that unifies charge, parity, time, and triality transformations among fermion generations.

Findings

Defines the CPTt Group incorporating triality symmetry.

Shows how the group transforms between three fermion generations.

Provides a new perspective on fermion symmetry structures.

Abstract

Discrete charge, parity, and time symmetries (C, P, and T) of quantized fermion states are extended by a triality symmetry (t), producing the CPTt Group, transforming between three generations of fermions.